How does a biased standard deviation differ from an unbiased standard deviation?
ID: 2889668 • Letter: H
Question
How does a biased standard deviation differ from an unbiased standard deviation?
The question makes an incorrect assumption as they are the same.
The biased standard deviation uses n in the denominator of its formula, while the unbiased standard deviation uses n-1 in the denominator of its formula. The unbiased standard deviation is used so as to not underestimate the population standard deviation.
They are different because the unbiased standard deviation is stated in the original units from which it is derived, while the biased standard deviation is stated in the units that are squared.
Neither concept is a measure of variability.
The question makes an incorrect assumption as they are the same.
The biased standard deviation uses n in the denominator of its formula, while the unbiased standard deviation uses n-1 in the denominator of its formula. The unbiased standard deviation is used so as to not underestimate the population standard deviation.
They are different because the unbiased standard deviation is stated in the original units from which it is derived, while the biased standard deviation is stated in the units that are squared.
Neither concept is a measure of variability.
Explanation / Answer
In an unbiased standard deviation, n-1 is used in the denominator. Therefore the correct option is the second option .
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